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Finding the Third Proportional to 65,137 and 97,868

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Solution

The third proportional to 65,137 and 97,868 is: 147,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137 : 97,868 = 97,868 : x
  2. Step 2: Convert to fraction form
    65,137/97,868 = 97,868/x
  3. Step 3: Cross multiply
    65,137x = 97,868 × 97,868
  4. Step 4: Simplify right side
    65,137x = 9,578,145,424
  5. Step 5: Solve for x
    x = 9,578,145,424/65,137
  6. Step 6: Final answer
    x = 147,046.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.